Sign (Built-in Mathematica Symbol)

Sign[x] gives -1, 0, or 1 depending on whether x is negative, zero, or positive.

Log (Built-in Mathematica Symbol)

Log[z] gives the natural logarithm of z (logarithm to base e). Log[b, z] gives the logarithm to base b.

Power (Built-in Mathematica Symbol)

x^y gives x to the power y.

Integer and Number Theoretic Functions (Mathematica Tutorial)

Some integer functions. The remainder on dividing 17 by 3. The integer part of 17/3.

Combine and Rearrange Lists (Mathematica How To)

Mathematica provides a complete data manipulation language with vast flexibility in rearranging lists with any number of elements in any kind of structure.

Numerical Nonlinear Global Optimization (Mathematica Tutorial)

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient-based methods use first ...

Introduction to Constrained ... (Mathematica Tutorial)

Constrained optimization problems are problems for which a function f(x) is to be minimized or maximized subject to constraints Φ(x). Here f:^n  is called the objective ...

Machine-Precision Numbers (Mathematica Tutorial)

Whenever machine-precision numbers appear in a calculation, the whole calculation is typically done in machine precision. Mathematica will then give machine-precision numbers ...

LocallyExact Method for NDSolve (Mathematica Tutorial)

A differential system can sometimes be solved by analytic means. The function DSolve implements many of the known algorithmic techniques. However, differential systems that ...

GeodesicDilation (Built-in Mathematica Symbol)

GeodesicDilation[marker, mask] gives the fixed point of the geodesic dilation of the image marker constrained by the image mask.